Solve any quadratic equation: enter the coefficients and get both roots, including complex roots when the parabola never crosses the x-axis.
How it works
- Identify the coefficients a, b, and c in your ax² + bx + c = 0 equation.
- Enter the coefficients into the calculator.
- Read the calculated roots and discriminant value.
Frequently asked questions
What does the discriminant mean visually?
It counts x-intercepts: 2 crossings, 1 touch, or none (the parabola floats above or below the axis).
What if a = 0?
Then it's linear, not quadratic — the tool solves bx + c = 0 instead and tells you.
What are complex roots good for?
They appear throughout physics and engineering — oscillations, AC circuits, control systems.
What do complex roots mean?
If the discriminant (b²−4ac) is negative, the parabola does not cross the x-axis and the roots are complex numbers — the tool will show them in a+bi form.